To give the counter example for the given statement.
Explanation of Solution
Given:
The statement is “The sum of geometric series cannot be less than its first term”.
Calculation:
The counter example for the above statement is as below
For any geometric sequence having first term negative and common ratio is positive integer, the sum of geometric sequence is less than its first term
Let us consider the sequence having first term
The sum of the above geometric sequence is
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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